Chapter 2 Homework Vocabulary Inductive reasoning - Conjecture - Counterexample - Conditional - Hypothesis - Conclusion - Truth value - Negation -

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Byron Stevenson
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1 Chapter 2 Homework Vocabulary Inductive reasoning - Conjecture - Counterexample - Conditional - Hypothesis - Conclusion - Truth value - Negation - Converse - Inverse - Contrapositive - Equivalent statements - Biconditional -

2 2.1/2.2 Homework Do Together 1.) What is the converse of the following conditional? If it is snowing, then it is cloudy. 2.) Write the converse of the statement. If the converse is true, write true; if not true, provide a counterexample. All rectangles are quadrilaterals. 3.) Identify the hypothesis and conclusion of this conditional statement. If a number is divisible by 2, then the number is even. 4.) Write the statement as a conditional in if-then form. A regular pentagon has exactly five congruent sides. 5.) What are the converse, inverse, and contrapositive of the following true conditional? If two angles are complementary, then their measures sum to 90.

3 Do On Your Own 6.) What is the converse of the following conditional? All students like chocolate. 7.) What is the converse of the following conditional? All right triangles have two or more congruent angles. 8.) Write the converse of the statement. If the converse is true, write true; if not true, provide a counterexample. If the sidewalks are wet, then it has been raining. 9.) Write the converse of the statement. If the converse is true, write true; if not true, provide a counterexample. The dog will bark if a stranger walks by the house. 10.) Identify the hypothesis and conclusion of the conditional statement. If a triangle has three congruent angles, then the triangle is equilateral. 11.) Identify the hypothesis and conclusion of the conditional statement. If the figure has four congruent angles, then the figure is a square.

4 12.) Write the statement as a conditional in if-then form. All uranium is radioactive. 13.) Write the statement as a conditional in if-then form. Two complementary angles form a right angle. 14.) What are the converse, inverse, and contrapositive of the following true conditional? If the temperature outside is freezing, then ice can form on the sidewalks. 15.) What are the converse, inverse, and contrapositive of the following true conditional? If a figure is a rectangle, then it has exactly four sides.

5 2.3 Homework Do Together 1.) Write the converse of the given true conditional and decide whether the converse is true or false. If the converse is true, combine it with the conditional to form a true biconditional. If the converse if false, give a counterexample. If a number is divisible by 2, then the number is even. 2.) Write the two conditional statements that form the given biconditional. Then decide whether the biconditional is a good definition. Explain. Two lines are perpendicular if and only if they intersect to form four right angles.

6 Do On Your Own 3.) Write the converse of the given true conditional and decide whether the converse is true or false. If the converse is true, combine it with the conditional to form a true biconditional. If the converse if false, give a counterexample. If two angles have the same measure, then the angles are congruent. 4.) Write the converse of the given true conditional and decide whether the converse is true or false. If the converse is true, combine it with the conditional to form a true biconditional. If the converse if false, give a counterexample. If x > 5, then x > 5. 5.) Write the two conditional statements that form the given biconditional. Then decide whether the biconditional is a good definition. Explain. A whole number is divisible by 3 if and only if the sum of the digits of the whole number is divisible by 3. 6.) Write the two conditional statements that form the given biconditional. Then decide whether the biconditional is a good definition. Explain. A whole number is an odd number if and only if it is not divisible by 2.

Final Review Chapter 1 - Homework

Name Date Final Review Chapter 1 - Homework Part A Find the missing term in the sequence. 1. 4, 8, 12, 16,, 7. 2. -5, 3, -2, 1, -1, 0,, 3. 1, 5, 14, 30, 55,, 8. List the three steps of inductive reasoning: